A mathematical framework for parameter designing under the noise: A case study from a conventional turning machine

In parameter design, the best settings for the control factors that minimize quality loss in a particular manufacturing operation are determined. In this process, it is possible to carry out minimization of the manufacturing cost, showing sensitivity to noise and quality loss with existing wide tolerances on the noise factors, low-grade components and materials. This manuscript proposes a mathematical framework for parameter designing under the existing noise. The mathematical framework has been proposed using the `parameter design' approach suggested in the robust design approach (RDA). The `parameter design' focuses on designing a process to make the performance minimally sensitive to the different causes of variation. Use of the framework has been illustrated with a case study, which has been performed using a conventional turning machine. The possibility of improving the quality under the noise due to age-related deterioration of the selected turning machine and the particular manufacturing environment has been demonstrated.